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38033136 = 24321913901
BaseRepresentation
bin1001000100010…
…1011011110000
32122120021122200
42101011123300
534214030021
63435103200
7641163531
oct221053360
978507580
1038033136
111a517949
12108a1b00
137b5851b
1450a0688
153514126
hex24456f0

38033136 has 60 divisors (see below), whose sum is σ = 112050120. Its totient is φ = 12009600.

The previous prime is 38033129. The next prime is 38033141. The reversal of 38033136 is 63133083.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4215 + ... + 9686.

It is an arithmetic number, because the mean of its divisors is an integer number (1867502).

Almost surely, 238033136 is an apocalyptic number.

38033136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38033136 is an abundant number, since it is smaller than the sum of its proper divisors (74016984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38033136 is a wasteful number, since it uses less digits than its factorization.

38033136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13925 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 38033136 is about 6167.1011018144. The cubic root of 38033136 is about 336.2952337078.

The spelling of 38033136 in words is "thirty-eight million, thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 13901 27802 41703 55604 83406 111208 125109 166812 222416 250218 264119 333624 500436 528238 667248 792357 1000872 1056476 1584714 2001744 2112952 2377071 3169428 4225904 4754142 6338856 9508284 12677712 19016568 38033136